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Finding the Fourth Proportional to 306,142.97, 459,205.97 and 81,505.35

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Solution

The fourth proportional to 306,142.97, 459,205.97 and 81,505.35 is: 122,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,142.97 : 459,205.97 = 81,505.35 : x
  2. Step 2: Convert to fraction form
    306,142.97/459,205.97 = 81,505.35/x
  3. Step 3: Cross multiply
    306,142.97x = 459,205.97 × 81,505.35
  4. Step 4: Simplify right side
    306,142.97x = 37,427,742,899.41
  5. Step 5: Solve for x
    x = 37,427,742,899.41/306,142.97
  6. Step 6: Final answer
    x = 122,255.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.